Information on Result #667718
Linear OA(3214, 1056, F32, 6) (dual of [1056, 1042, 7]-code), using generalized (u, u+v)-construction based on
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(320, 33, F32, 0) (dual of [33, 33, 1]-code) (see above)
- linear OA(321, 33, F32, 1) (dual of [33, 32, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(321, 33, F32, 1) (dual of [33, 32, 2]-code) (see above)
- linear OA(321, 33, F32, 1) (dual of [33, 32, 2]-code) (see above)
- linear OA(322, 33, F32, 2) (dual of [33, 31, 3]-code or 33-arc in PG(1,32)), using
- extended Reed–Solomon code RSe(31,32) [i]
- Hamming code H(2,32) [i]
- linear OA(323, 33, F32, 3) (dual of [33, 30, 4]-code or 33-arc in PG(2,32) or 33-cap in PG(2,32)), using
- extended Reed–Solomon code RSe(30,32) [i]
- linear OA(326, 33, F32, 6) (dual of [33, 27, 7]-code or 33-arc in PG(5,32)), using
- extended Reed–Solomon code RSe(27,32) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.